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Finding the Fourth Proportional to 355,809.96, 490,969.32 and 212,539.59

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Solution

The fourth proportional to 355,809.96, 490,969.32 and 212,539.59 is: 293,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,809.96 : 490,969.32 = 212,539.59 : x
  2. Step 2: Convert to fraction form
    355,809.96/490,969.32 = 212,539.59/x
  3. Step 3: Cross multiply
    355,809.96x = 490,969.32 × 212,539.59
  4. Step 4: Simplify right side
    355,809.96x = 104,350,417,975.38
  5. Step 5: Solve for x
    x = 104,350,417,975.38/355,809.96
  6. Step 6: Final answer
    x = 293,275.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.